Abstract
The main theme of this paper is to investigate entropy generation analysis for unsteady three-dimensional flow of viscous (Newtonian) fluid between two horizontal parallel plates. Lower plate is porous and stretching while upper plate squeezed downward. Further effects of nonlinear thermal radiation, viscous dissipation, heat source/sink and activation energy are accounted. Entropy generation rate calculated in terms of thermal radiation, fluid diffusion and fluid friction. Transformations procedure used lead to reduction of PDE’s into ordinary ones. Built-in-Shooting technique is used for the computational analysis. Impacts of different flow variables on temperature, velocity, concentration, volumetric entropy generation and Bejan number are discussed and presented through graphs. Temperature and concentration gradient are discussed numerically. It is examined from obtained results that velocity of liquid particle decays through larger estimation of squeezing parameter. It is also examined that temperature distribution enhances for higher estimation of radiative heat flux. Moreover temperature and concentration gradient increase for larger squeezing parameter.
References
Bejan, A. 1980. “Second Law Analysis in Heat Transfer.” Energy 5: 720–732.10.1016/0360-5442(80)90091-2Search in Google Scholar
Dalir, N., M. Dehsara, and S. S. Nourazar. 2015. “Entropy Analysis for Magnetohydrodynamic Flow and Heat Transfer of a Jeffrey Nanofluid Over a Stretching Sheet.” Energy 79: 351–362.10.1016/j.energy.2014.11.021Search in Google Scholar
Farooq, M., S. Ahmad, M. Javed, and A. Anjum. 2017. “Analysis of Cattaneo-Christov Heat and Mass Fluxes in the Squeezed Flow Embedded in Porous Medium with Variable Mass Diffusivity.” Results in Physics 7: 3788–3796.10.1016/j.rinp.2017.09.025Search in Google Scholar
Farooq, M., M. I. Khan, M. Waqas, T. Hayat, A. Alsaedi, and M. I. Khan. 2016. “MHD Stagnation Point Flow of Viscoelastic Nanofluid with Non-linear Radiation Effects.” Journal of Molecular Liquids 221: 1097–1103.10.1016/j.molliq.2016.06.077Search in Google Scholar
Fusi, L., A. Farina, and F. Rosso. 2016. “Squeeze Flow of a Bingham-Type Fluid with Elastic Core.” International Journal of Non-Linear Mechanics 78: 59–65.10.1016/j.ijnonlinmec.2015.10.004Search in Google Scholar
Grimm, R. J. 1976. “Squeezing Flows of Newtonian Liquid Films, an Analysis Including Fluid Inertia.” Applied Scientific Research 32: 149–166.10.1007/BF00383711Search in Google Scholar
Guo, J., M. Xu, J. Cai, and X. Huai. 2011. “Viscous Dissipation Effect on Entropy Generation in Curved Square Microchannels.” Energy 36: 5416–5423.10.1016/j.energy.2011.06.060Search in Google Scholar
Hayat, T., S. Ahmad, M. I. Khan, and A. Alsaedi. 2017a. “Non-Darcy Forchheimer Flow of Ferromagnetic Second Grade Fluid.” Results Physics 7: 3419–3424.10.1016/j.rinp.2017.08.041Search in Google Scholar
Hayat, T., S. Ahmad, M. I. Khan, and A. Alsaedi. 2018a. “A Frame Work for Heat Generation/Absorption and Modified Homogeneous-Heterogeneous Reaction in Flow Based on Non-Darcy-Forchheimer Medium. Nuclear Engineering and Technology (In press).10.1016/j.net.2018.01.021Search in Google Scholar
Hayat, T., S. Ahmad, M. I. Khan, and A. Alsaedi. 2018b. “Exploring Magnetic Dipole Contribution on Radiative Flow of Ferromagnetic Williamson Fluid.” Results Physics 8: 545–551.10.1016/j.rinp.2017.11.040Search in Google Scholar
Hayat, T., S. Ahmad, M. I. Khan, and A. Alsaedi. 2018c. “Modeling and Analyzing Flow of Third Grade Nanofluid Due to Rotating Stretchable Disk with Chemical Reaction and Heat Source.” Physica B: Condensed Matter 537: 116–126.10.1016/j.physb.2018.01.052Search in Google Scholar
Hayat, T., S. Ahmad, M. I. Khan, and A. Alsaedi. 2018d. “Simulation of Ferromagnetic Nanomaterial Flow of Maxwell Fluid.” Results Physics 8: 34–40.10.1016/j.rinp.2017.11.021Search in Google Scholar
Hayat, T., M. I. Khan, M. Farooq, A. Alsaedi, and M. I. Khan. 2017b. “Thermally Stratified Stretching Flow with Cattaneo-Christov Heat Flux.” International Journal of Heat and Mass Transfer 106: 289–294.10.1016/j.ijheatmasstransfer.2016.10.071Search in Google Scholar
Hayat, T., M. I. Khan, M. Farooq, A. Alsaedi, and T. Yasmeen. 2017c. “Impact of Marangoni Convection in the Flow of Carbon–Water Nanofluid with Thermal Radiation.” International Journal of Heat and Mass Transfer 106: 810–815.10.1016/j.ijheatmasstransfer.2016.08.115Search in Google Scholar
Hayat, T., M. I. Khan, M. Farooq, T. Yasmeen, and A. Alsaedi. 2016a. “Water-Carbon Nanofluid Flow with Variable Heat Flux by a Thin Needle.” Journal of Molecular Liquids 224: 786–791.10.1016/j.molliq.2016.10.069Search in Google Scholar
Hayat, T., M. I. Khan, M. Tamoor, M. Waqas, and A. Alsaedi. 2017d. “Numerical Simulation of Heat Transfer in MHD Stagnation Point Flow of Cross Fluid Model Towards a Stretched Surface.” Results Physics 7: 1824–1827.10.1016/j.rinp.2017.05.022Search in Google Scholar
Hayat, T., M. I. Khan, S. Qayyum, and A. Alsaedi. 2018e. “Entropy Generation in Flow with Silver and Copper Nanoparticles.” Colloids and Surfaces A: Physicochemical and Engineering Aspects 539: 335-346.10.1016/j.colsurfa.2017.12.021Search in Google Scholar
Hayat, T., K. Muhammad, M. Farooq, and A. Alsaedi. 2016b. “Squeezed Flow Subject to Cattaneo-Christov Heat Flux and Rotating Frame.” Journal of Molecular Liquids 220: 216–222.10.1016/j.molliq.2016.01.099Search in Google Scholar
Hayat, T., H. Nazar, M. Imtiaz, A. Alsaedi, and M. Ayub. 2017e. “Axisymmetric Squeezing Flow of Third Grade Fluid in Presence of Convective Conditions.” Chinese Journal of Physics 55: 738–754.10.1016/j.cjph.2017.02.005Search in Google Scholar
Hayat, T., M. Rafiq, B. Ahmad, and S. Asghar. 2017f. “Entropy Generation Analysis for Peristaltic Flow of Nanoparticles in a Rotating Frame.” International Journal of Heat and Mass Transfer 108: 1775–1786.10.1016/j.ijheatmasstransfer.2017.01.038Search in Google Scholar
Hayat, T., S. Ullah, M. I. Khan, and A. Alsaedi. 2018f. “On Framing Potential Features of SWCNTs and MWCNTs in Mixed Convective Flow.” Results Physics 8: 357–364.10.1016/j.rinp.2017.12.017Search in Google Scholar
Khan, N. B., Z. Ibrahim, M. F. Javed, and M. Jameel. 2017a. “Numerical Investigation of the Vortex-Induced Vibration of an Elastically Mounted Circular Cylinder at High Reynolds Number (Re = 104) and Low Mass Ratio Using the RANS Code. Plos One 12: e0185832.10.1371/journal.pone.0185832Search in Google Scholar PubMed PubMed Central
Khan, N. B., Z. Ibrahim, and M. F. Javed. “Numerical Investigation of the Vortex-Induced Vibration of an Elastically Mounted Circular Cylinder Having Low Mass Rati Using the RANS Code.” The 2017 Word Congress on Advances in Structural Engineering and Mechanics, (ASEM17) ILSAN (Seoul), Korea.10.1371/journal.pone.0185832Search in Google Scholar
Khan, N. B., Z. Ibrahim, M. I. Khan, T. Hayat, and M. F. Javed. 2018. “VIV Study of an Elastically Mounted Cylinder Having Low Mass-Damping Ratio Using RANS Model.” International Journal of Heat and Mass Transfer 121: 309–314.10.1016/j.ijheatmasstransfer.2017.12.109Search in Google Scholar
Khan, N. B., and Z. Ibrahim. 2017. “Numerical Investigation of Vortex-Induced Vibration of an Elastically Mounted Circular Cylinder with One-Degree of Freedom at High Reynolds Number Using Different Turbulent Models, Proceed. Proceedings of the Institution of Mechanical Engineers Part Mhttp://doi.org/10.1177/1475090217751992.Search in Google Scholar
Khan, M. I., M. Waqas, T. Hayat, and A. Alsaedi. 2017b. “A Comparative Study of Casson Fluid with Homogeneous-Heterogeneous Reactions.” Journal of Colloid and Interface Science 498: 85–90.10.1016/j.jcis.2017.03.024Search in Google Scholar PubMed
Khan, M. I., M. Waqas, T. Hayat, and A. Alsaedi. 2017c. “A Comparative Study of Casson Fluid with Homogeneous-Heterogeneous Reactions.” Journal of Colloid and Interface Science 498: 85–90.10.1016/j.jcis.2017.03.024Search in Google Scholar
Li, X., and A. Faghri. 2011 “Local Entropy Generation Analysis on Passive High-Concentration DMFCs (Direct Methanol Fuel Cell) with Different Cell Structures.” Energy 36: 403–414.10.1016/j.energy.2010.10.024Search in Google Scholar
Munawar, S., A. Mehmood, and A. Ali. 2012. “Three-Dimensional Squeezing Flow in a Rotating Channel of Lower Stretching Porous Wall.” Journal of Computational and Applied Mathematics 64: 1575–1586.10.1016/j.camwa.2012.01.003Search in Google Scholar
Nouri, D., M. Pasandideh-Fard, M. J. Oboodi, O. Mahian, and A. Z. Sahin. 2018a. “Entropy Generation Analysis of Nanofluid Flow Over a Spherical Heat Source Inside a Channel with Sudden Expansion and Contraction.” International Journal of Heat and Mass Transfer 116: 1036–1043.10.1016/j.ijheatmasstransfer.2017.09.097Search in Google Scholar
Sheikholeslami, M., D. D. Ganji, and H. R. Ashorynejad. 2013. “Investigation of Squeezing Unsteady Nanofluid Flow Using ADM.” Powder Technology 239: 259–265.10.1016/j.powtec.2013.02.006Search in Google Scholar
Stefan, M. J. 1874. “Versuch Uber die scheinbare Adhesion.” Akad. Wiss. Math-Natur 69: 713–721.Search in Google Scholar
Van der Ham, L. V., J. Gross, and S. Kjelstrup. 2011. “Two Performance Indicators for the Characterization of the Entropy Production in A Process Unit.” Energy 36: 3727–3732.10.1016/j.energy.2010.11.012Search in Google Scholar
© 2018 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Experiment and Dynamic Simulation of PIG Motion during Pigging Operation in a Slope Pipeline
- Solar Radiation Effect on a Magneto Nanofluid Flow in a Porous Medium with Chemically Reactive Species
- Mathematical Modeling of Ethane Cracking Furnace of Olefin Plant with Coke Formation Approach
- Entropy Generation and Activation Energy Impact on Radiative Flow of Viscous Fluid in Presence of Binary Chemical Reaction
- Exploration of Chemical Reaction Effects on Entropy Generation in Heat and Mass Transfer of Magneto-Jeffery Liquid
- Response Surface Methodology Optimization for Photodegradation of Methylene Blue in a ZnO Coated Flat Plate Continuous Photoreactor
- Modeling of Fluid Bed Reactor of Ethylene Di Chloride Production in Abadan Petrochemical Based on Three-Phase Hydrodynamic Model
- Optimization and Reaction Kinetics Studies on Copper-Cobalt Catalyzed Liquid Phase Hydrogenation of 5-Hydroxymethylfurfural to 2,5-Dimethylfuran
- Role of Fe(III) and Oxalic Acid in the photo-Fenton System for 3-Methylphenol Degradation in Aqueous Solution under Natural and Artificial Light
- Assessment of the Efficiency of Aliquat 336+Rice Bran Oil for Separation of Acrylic Acid from Aqueous Solution Using Reactive Extraction
Articles in the same Issue
- Experiment and Dynamic Simulation of PIG Motion during Pigging Operation in a Slope Pipeline
- Solar Radiation Effect on a Magneto Nanofluid Flow in a Porous Medium with Chemically Reactive Species
- Mathematical Modeling of Ethane Cracking Furnace of Olefin Plant with Coke Formation Approach
- Entropy Generation and Activation Energy Impact on Radiative Flow of Viscous Fluid in Presence of Binary Chemical Reaction
- Exploration of Chemical Reaction Effects on Entropy Generation in Heat and Mass Transfer of Magneto-Jeffery Liquid
- Response Surface Methodology Optimization for Photodegradation of Methylene Blue in a ZnO Coated Flat Plate Continuous Photoreactor
- Modeling of Fluid Bed Reactor of Ethylene Di Chloride Production in Abadan Petrochemical Based on Three-Phase Hydrodynamic Model
- Optimization and Reaction Kinetics Studies on Copper-Cobalt Catalyzed Liquid Phase Hydrogenation of 5-Hydroxymethylfurfural to 2,5-Dimethylfuran
- Role of Fe(III) and Oxalic Acid in the photo-Fenton System for 3-Methylphenol Degradation in Aqueous Solution under Natural and Artificial Light
- Assessment of the Efficiency of Aliquat 336+Rice Bran Oil for Separation of Acrylic Acid from Aqueous Solution Using Reactive Extraction